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Convergence of the trajectories of a non-Volterra quadratic stochastic operator

B. J. MamurovNuriddinov Bukhara State University
ABI

Abstract

In the present paper we consider non-Volterra quadratic stochastic operators defined on the two-dimensional simplex depending on a parameter \alpha . We show that such an operator has a unique fixed point and all the trajectories converge to this unique fixed point.

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